Two cyclists start at the same point and travel in opposite directions. One cyclist travels 10 kmh faster than the other. If the two cyclists are 162 kilometers apart after 3 hours, what is the rate of each cyclist?

Answers

Answer 1
let x=rate of slower cyclist
x+9=rate of faster cyclist
distance=travel time*rate
..
3x+3(x+9)=99
3x+3x+27=99
6x=72
x=12
x+9=21
rate of slower cyclist=12 km/h
rate of faster cyclist=21 km/hr

Related Questions

A bus makes a stop at 2:30, letting off 10 people and letting on 3. The bus makes another stop ten minutes later to let off 2 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

1 person is still
on the bus

After finishing an online purchase, a popup invites you to participate in a customer satisfaction poll.


What type of bias is most likely to present?

a) Sampling bias
b) Voluntary response bias
c) Self interest study
d) Loaded questions

Answers

B is the correct answer

Solve for p.

p + 36 = 73

p =

Answers

Answer:

p=37

Step-by-step explanation:

to get p by its self, you would do:

p+36=73

 -36=-36

p=37

Answer:

37

Step-by-step explanation:

A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.

The bulder needs to cut
? Inches off the block of wood.

Answers

Answer:

1.25 inches

Step-by-step explanation:

5 - 5% is 4.75

4.75 - 3.5 is 1.25


The spinner has 8 congruent sections. What is the probability of
spinning a number divisible by 3 two times in a row?

Answers

Answer:

1/16 or 0.0625

Step-by-step explanation:

There are two numbers on the chart that are divisible by 3.

So the odds of spinning and getting one of those on the first try would be 2/8 or 1/4.

The odds are then multiplied by the chance of spinning it again on the second try, which would still be 1/4.

To get: 1/16

What is the probability of a coin landing on heads 3 times?

Answers

Answer:

50%

Step-by-step explanation:

Suppose you have a fair coin; this means it has a 50% chance of landing heads up. Suppose you dip it three times, these flips are independent. What is the probability that it lands heads up, then tails up and then heads up again. so the answer is 1/8 or 12.5%

(hope I wasnt late!!)

WILL




GIVE


BRAINLIST ANSWER

..
.
.
.
.

Answers

Click on the picture for the graph!

Remember to label!

Hope this helps! Have a great day!

pls help and stay tuned bcs their will be more questions bcs i just not that smart
._.

Answers

Answer:

I beileve it is Y.

Step-by-step explanation:

Write an inequality for the graph

Answers

The open circle means the inequality will be greater than or equal to (≥) or less than or equal to (≤).
A closed circle means the inequality will be greater than (>) or less than (<)

An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)

So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38

The segment below is dilated by a scale factor of 5 to form N'O'. What is the
measure of N'O'?

Answers

Answer:

N'O' = 25

Step-by-step explanation:

N'O' = 5 × NO = 5 × 5 = 25

Which is the equation of the given line?

Answers

Answer:

y = 1

Step-by-step explanation:

since its a horizantal line

if u take any 2 points and find the slope, for example if we take points (1, 1) and (4, 1) the slope will be 0/3 which is zero

y = 0x + b

so there is basically no x in this case

so y = b

now plug in a point from the line, (1, 1)

y = mx + b

y = 0x + b

1 = 0(1) + b

1 = 0 + b

1 = b

b = 1

final equation:

y = 0x + 1

y = 1

The three-dimensional figure below is a cylinder with a hole in the shape of a rectangle prism going through the center of it. The radius is 10 feet. Find the volume of the solid and cubic feet. Use 3.14 for pi.

Answers

Answer:

4488ft^3

Step-by-step explanation:

Given data

Dimension of the hole

Length= 5ft

Width= 3ft

Height= 15ft

Volume of Hole=L*W*H

Volume of Hole= 5*3*15

Volume of Hole= 225ft^2

Volume of cylinder

Radius= 10ft

Height = 15ft

Volume of cylinder= πr^2h

Volume of cylinder= 3.142*10^2*15

Volume of cylinder= 3.142*100*15

Volume of cylinder= 4713ft^3

Hence the volume of the shape is

Volume of shape= Volume of cylinder- Volume of hole

Volume of shape= 4713-  225

Volume of shape= 4488ft^3

What does the term 9b represent

A,B,C,D

Answers

Answer:

(B) The cost to rent a bike

Answer: the cost to rent a bike

Step-by-step explanation:

3x[9-(4+2)divide by 2

Answers

Answer:

4.5 or 9/2 using bodmas ruke

Dilation by scale factor 5

Answers

Answer:

is there supposed to be a picture here?

Step-by-step explanation:

i need help asap someone please help me asap

Answers

Slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

So taking 2 points (0,0) and (60,120)

we have slope = (120-0)/(60-0) = 120/60 = 2

general equation of linear graph is y=mx+b with m be the slope

so y=2x+b

Now to find b, just plug any point of the graph in, such as (0,0)

so we get something like 0=2(0) + b => b=0

So your equation is y=2x

Plz don’t delete my questions,plz help me!! Or eles I won’t get to play games!URGENT!!

Answers

The correct answer is B
B because all of the other ones are wrong

Help please I need it right now thanks

Answers

Answer:

The number of data values between the lower quartile and the median is less than the number of data values between the upper quartile and the median.

Step-by-step explanation:

Help what’s the answer

Answers

the answer is 474 i believe

A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fruit juice? DO NOT FORGET THE UNITS!

Answers

Answer:

64 ounces of soda

Step-by-step explanation:

for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64

What is the slope of line a?

Answers

Given:

The graph of a line a.

To find:

The slope of the line a.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line a passes through the points (-1,1) and (0,-2). So, the slope of the line a is:

[tex]m=\dfrac{-2-1}{0-(-1)}[/tex]

[tex]m=\dfrac{-3}{1}[/tex]

[tex]m=-3[/tex]

The slope of the line a is -3. Therefore, the correct option is C.

What are the coordinates of the image of ABC after a dilation with center (0, 0) and a scale factor of 1/2 ? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.

Use numbers 1,2,3,4,5,6

Please help I will give 100 points.

Answers

Answer:

A(2,2) _scale factor ½--(1,1)

B(4,6)_scale factor ½--(2,3)

C(6,2)_scale factor ½--(3,1)

is a required coordinate

A(2,2)B(4,6)C(6,2)

Scale factor=1/2

Apply and get new coordinates

A'=(1,1)B'=(2,3)C'=(3,1)

Angle Relationships

Solve the following right triangle

Determine all the missing sides and angles

a.
BC = 5cm
AC = 4cm
∠B = 27°
∠C = 90°
b.
BC = 4.8cm
AC = 3.6cm
∠B = 37°
∠C = 180°
c.
BC = 4cm
AC = 3cm
∠B = 127°
∠C = 180°
d.
BC = 4.8cm
AC = 3.6cm
∠B = 127°
∠C = 180°

Please select the best answer from choices provided

Answers

Answer:

B.

   BC = 4.8cm

   AC = 3.6cm

   ∠B = 37°

   ∠C =90°

Step-by-step explanation:

I calculated it logically

Answer:

B

Step-by-step explanation:

Edg told me

In a rational function, what must be true for the graph to have a horizontal asymptote at
y = 0.

Answers

Answer:

m = 0

Step-by-step explanation:



In one game there are 85 spins.
How many of these spins are expected to be 'Go forward 2 squares'?

Answers

I dont know the question sory

Please help
Find the Arc Length of arc b, given the radius is 5 cm.

Answers

Answer:

Arc length= 180/360 ( 2 pi × 5cm)

180/360 (2 ×22/7×5cm)

18/36=1/2× 2×22/ 7 ×5cm

1×22/7×5cm

22/7×5cm

110/7

=15.715cm

Which of the following equations describes the line shown below? Check all
that apply.

Answers

Answer:

B. y = 2x - 2

E. [tex] y + 4 = 2(x + 1) [/tex]

F. [tex] y - 6 = 2(x - 4) [/tex]

Step-by-step explanation:

The equation of the line can be found using either the point-slope equation or the slope-intercept equation.

✔️Equation of the line in point-slope using the slope and the coordinates of the point (4, 6):

Slope = m = change in y/change in x

Using (4, 6) and (-1, -4),

m = (-4 - 6)/(-1 - 4)

m = -10/-5

m = 2

Substitute m = 2, and (a, b) = (4, 6) into the point-slope equation form [tex] y - b = m(x - a) [/tex]

Thus:

[tex] y - 6 = 2(x - 4) [/tex]

✔️Equation of the line in point-slope using the slope and the coordinates of the point (-1, -4):

Slope = m = 2

Substitute m = 2, and (a, b) = (-1, -4) into the point-slope equation form [tex] y - b = m(x - a) [/tex]

Thus:

[tex] y - (-4) = 2(x - (-1)) [/tex]

[tex] y + 4 = 2(x + 1) [/tex]

✔️Equation of the line in slope-intercept form, y = mx + b

Where,

m = slope = 2

b = y-intercept = -2 (the point where the line intercepts the y-axis)

Thus, substitute m = 2 and b = -2 into y = mx + b

y = 2x + (-2)

y = 2x - 2

Pwease help this is very important I will give you brain thing if its correct ♡

Answers

Answer:

1. x-8

2. I dont know sorry

Step-by-step explanation:

Answer:

1. 8 - x

The answer is 8 - x because the plant is 8 inches tall total this week, and to get how many it grew you would subtract it's height last week from 8.

2. The other expression, x - 8, could show how much a plant wilted, if it did. If the height went down, subtracting 8 from x could show how much the plant wilted.

Step-by-step explanation:

:-) hope this helps!

Please help me with this assignment!

Answers

Answer:

Since potential vice presidents are chosen before the election occurs, they are often selected partially due to their potential effect on the election. Presidential candidates often choose running mates who can capture key demographics or who have a high level of experience in an area that voters regard as important.

Step-by-step explanation:

Fred has a jug that contains
750 milliliters of milk. How many
liters of milk are in the jug?

Answers

Answer:

.75 liters

Step-by-step explanation:

add a decimal point at the end of 750 and move it 3 places to the left because mili is one thousandth of a liter

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